The Cauchy-Schlomilch transformation
Classical Analysis and ODEs
2010-04-15 v1
Abstract
The Cauchy-Schl\"omilch transformation states that for a function and , the integral of and over the interval are the same. This elementary result is used to evaluate many non-elementary definite integrals, most of which cannot be obtained by symbolic packages. Applications to probability distributions is also given.
Keywords
Cite
@article{arxiv.1004.2445,
title = {The Cauchy-Schlomilch transformation},
author = {T. Amdeberhan and M. L. Glasser and M. C. Jones and V. H. Moll and R. Posey and D. Varela},
journal= {arXiv preprint arXiv:1004.2445},
year = {2010}
}